user
Construct a proof to demonstrate that x^2 = y^2 Output:
assistant
This proof can be constructed by first noting that  x^2-y^2 = (x-y)*(x+y).  Then by considering the difference of two squares equation, (x-y)(x+y) = x^2 - y^2, and by expanding the equation it is evident that x^2 = y^2.